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Finding the Fourth Proportional to 412,233.79, 569,160.80 and 257,421.60

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Solution

The fourth proportional to 412,233.79, 569,160.80 and 257,421.60 is: 355,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,233.79 : 569,160.80 = 257,421.60 : x
  2. Step 2: Convert to fraction form
    412,233.79/569,160.80 = 257,421.60/x
  3. Step 3: Cross multiply
    412,233.79x = 569,160.80 × 257,421.60
  4. Step 4: Simplify right side
    412,233.79x = 146,514,283,793.28
  5. Step 5: Solve for x
    x = 146,514,283,793.28/412,233.79
  6. Step 6: Final answer
    x = 355,415.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.